14608000 has 128 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 5248000.

The previous prime is 14607997. The next prime is 14608021. The reversal of 14608000 is 80641.

14608000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175959 + ... + 176041.

Almost surely, 2^14608000 is an apocalyptic number.

14608000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

14608000 is an abundant number, since it is smaller than the sum of its proper divisors (25490240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14608000 is an equidigital number, since it uses as much as digits as its factorization.

14608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 14608000 is about 3822.0413393892. The cubic root of 14608000 is about 244.4538716903.

Adding to 14608000 its reverse (80641), we get a palindrome (14688641).

The spelling of 14608000 in words is "fourteen million, six hundred eight thousand".